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122121020102220 = 223253001730930931
BaseRepresentation
bin11011110001000110000100…
…000001011101011001001100
3121000101122200212022001120200
4123301012010001131121030
5112001312322121232340
61111421342214413500
734502644502451456
oct3361060401353114
9530348625261520
10122121020102220
1135a03263182aa7
1211843a56661290
13531ac69303389
1422229905272d6
15e1b9abe3b330
hex6f118405d64c

122121020102220 has 144 divisors (see below), whose sum is σ = 370619878268640. Its totient is φ = 32549247360000.

The previous prime is 122121020102197. The next prime is 122121020102231. The reversal of 122121020102220 is 22201020121221.

It is a happy number.

122121020102220 is a `hidden beast` number, since 1 + 221 + 21 + 0 + 201 + 0 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122121020102193 and 122121020102202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3948160155 + ... + 3948191085.

Almost surely, 2122121020102220 is an apocalyptic number.

122121020102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121020102220 is an abundant number, since it is smaller than the sum of its proper divisors (248498858166420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122121020102220 is a wasteful number, since it uses less digits than its factorization.

122121020102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41256 (or 41251 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122121020102220 its reverse (22201020121221), we get a palindrome (144322040223441).

The spelling of 122121020102220 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3001 6002 7309 9003 12004 14618 15005 18006 21927 27009 29236 30010 30931 36012 36545 43854 45015 54018 60020 61862 65781 73090 87708 90030 92793 108036 109635 123724 131562 135045 146180 154655 180060 185586 219270 263124 270090 278379 309310 328905 371172 438540 463965 540180 556758 618620 657810 927930 1113516 1315620 1391895 1855860 2783790 5567580 21934309 43868618 65802927 87737236 92823931 109671545 131605854 185647862 197408781 219343090 226074679 263211708 278471793 329014635 371295724 394817562 438686180 452149358 464119655 556943586 658029270 678224037 789635124 835415379 904298716 928239310 987043905 1113887172 1130373395 1316058540 1356448074 1392358965 1670830758 1856478620 1974087810 2034672111 2260746790 2712896148 2784717930 3341661516 3391120185 3948175620 4069344222 4177076895 4521493580 5569435860 6782240370 8138688444 8354153790 10173360555 13564480740 16708307580 20346721110 40693442220 678450111679 1356900223358 2035350335037 2713800446716 3392250558395 4070700670074 6106051005111 6784501116790 8141401340148 10176751675185 12212102010222 13569002233580 20353503350370 24424204020444 30530255025555 40707006700740 61060510051110 122121020102220